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The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square.

Correct answer: D. Cannot be determined

  • A. 200 sq cm
  • B. 72 sq cm
  • C. 162 sq cm
  • D. Cannot be determined

Explanation

The rectangle's area is length x breadth = 480 sq.cm, but this does not determine its perimeter because many length and breadth pairs have the same product. Since the square's perimeter depends on the rectangle's perimeter, its area cannot be found uniquely. Students may choose option a by incorrectly treating the rectangle's area as its perimeter.

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About Area and Volume

Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.

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